Banach spaces with the 4.3. intersection property

Lima, Ȧsvald

doi:10.1090/S0002-9939-1980-0580998-9

Banach spaces with the $4.3.$ intersection property
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Proc. Amer. Math. Soc. 80 (1980), 431-434 Request permission

Abstract:

We show that a finite-dimensional Banach space has the 4.3. intersection property if and only if it is isometric to an ${l_\infty }$-sum of one- and two-dimensional spaces.

References

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Åsvald Lima, An application of a theorem of Hirsberg and Lazar, Math. Scand. 38 (1976), no. 2, 325–340. MR 435802, DOI 10.7146/math.scand.a-11639
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